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Finding the Third Proportional to 212,165,576 and 456,977,392

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Solution

The third proportional to 212,165,576 and 456,977,392 is: 984,270,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,165,576 : 456,977,392 = 456,977,392 : x
  2. Step 2: Convert to fraction form
    212,165,576/456,977,392 = 456,977,392/x
  3. Step 3: Cross multiply
    212,165,576x = 456,977,392 × 456,977,392
  4. Step 4: Simplify right side
    212,165,576x = 208,828,336,799,121,664
  5. Step 5: Solve for x
    x = 208,828,336,799,121,664/212,165,576
  6. Step 6: Final answer
    x = 984,270,590.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.